On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems

Bressan, Aldo, and Favretti, Marco. "On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.1 (1992): 35-42. <http://eudml.org/doc/244286>.

@article{Bressan1992,
abstract = {This Note is the continuation of a previous paper with the same title. Here (Part II) we show that for every choice of the sequence \( u\_\{a\}(\cdot) \), \( \Sigma\_\{a\}\)'s trajectory \( l\_\{a\} \) after the instant \( d + \eta\{a\} \) tends in a certain natural sense, as \( a \to \infty \), to a certain geodesic \( l \) of \( V\_\{d\} \), with origin at \( (\bar\{q\},\bar\{u\}) \). Incidentally \( l \) is independent of the choice of applied forces in a neighbourhood of \( (\bar\{q\},\bar\{u\}) \) arbitrarily prefixed.},
author = {Bressan, Aldo, Favretti, Marco},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Lagrangian systems; Feedback theory; Bursts; feedback theory},
language = {eng},
month = {3},
number = {1},
pages = {35-42},
publisher = {Accademia Nazionale dei Lincei},
title = {On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems},
url = {http://eudml.org/doc/244286},
volume = {3},
year = {1992},
}

TY - JOUR
AU - Bressan, Aldo
AU - Favretti, Marco
TI - On motions with bursting characters for Lagrangian mechanical systems with a scalar control. II. A geodesic property of motions with bursting characters for Lagrangian systems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/3//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 1
SP - 35
EP - 42
AB - This Note is the continuation of a previous paper with the same title. Here (Part II) we show that for every choice of the sequence \( u_{a}(\cdot) \), \( \Sigma_{a}\)'s trajectory \( l_{a} \) after the instant \( d + \eta{a} \) tends in a certain natural sense, as \( a \to \infty \), to a certain geodesic \( l \) of \( V_{d} \), with origin at \( (\bar{q},\bar{u}) \). Incidentally \( l \) is independent of the choice of applied forces in a neighbourhood of \( (\bar{q},\bar{u}) \) arbitrarily prefixed.
LA - eng
KW - Lagrangian systems; Feedback theory; Bursts; feedback theory
UR - http://eudml.org/doc/244286
ER -